1002200210000 has 400 divisors, whose sum is σ = 2705824459008. Its totient is φ = 356428800000.

The previous prime is 1002200209937. The next prime is 1002200210003. The reversal of 1002200210000 is 120022001.

1002200210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002200210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002200210003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1100109545 + ... + 1100110455.

Almost surely, 2^{1002200210000} is an apocalyptic number.

1002200210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352912229504).

1002200210000 is an abundant number, since it is smaller than the sum of its proper divisors (1703624249008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002200210000 is a wasteful number, since it uses less digits than its factorization.

1002200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1002200210000 its reverse (120022001), we get a palindrome (1002320232001).

The spelling of 1002200210000 in words is "one trillion, two billion, two hundred million, two hundred ten thousand".